Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
55701	Expand the Trigonometric Expression	(24x^2+28xk+4k^2)/(6x+6k)	$\frac{24 x^{2} + 28 x k + 4 k^{2}}{6 x + 6 k}$
55702	Solve for y	y>3x	$y > 3 x$
55703	Multiply	(6+ fourth root of 6)(5- fourth root of 8)	$(6 + \sqrt[4]{6}) (5 - \sqrt[4]{8})$
55704	Convert to Set Notation	[-5,5] , [5,-5]	$[- 5, 5]$ , $[5, - 5]$
55705	Multiply	(7x-6)(5x+6)	$(7 x - 6) (5 x + 6)$
55706	Convert to Set Notation	2x^3-x^2>3x	$2 x^{3} - x^{2} > 3 x$
55707	Multiply	(8-9 fourth root of 36)(5+4 fourth root of 27)	$(8 - 9 \sqrt[4]{36}) (5 + 4 \sqrt[4]{27})$
55708	Convert to Set Notation	(negative infinity,3) intersect [-7,18)	$(- \infty, 3) \cap [- 7, 18)$
55709	Multiply	(4- square root of 3)(4+ square root of 3)	$(4 - \sqrt{3}) (4 + \sqrt{3})$
55710	Convert to Set Notation	(-9,6]	$(- 9, 6]$
55711	Multiply	(5x+2)(5x-2)	$(5 x + 2) (5 x - 2)$
55712	Convert to Set Notation	(negative infinity,4.2)	$(- \infty, 4.2)$
55713	Multiply	(a+b)(a-b)	$(a + b) (a - b)$
55714	Multiply	(u+ square root of v)(u- square root of v)	$(u + \sqrt{v}) (u - \sqrt{v})$
55715	Multiply	(x+2)(x+8)	$(x + 2) (x + 8)$
55716	Convert to Set Notation	(-7,0) intersect [-4,2]	$(- 7, 0) \cap [- 4, 2]$
55717	Multiply	(x+1)(x+2)	$(x + 1) (x + 2)$
55718	Convert to Set Notation	(negative infinity,-2) union (-2,infinity)	$(- \infty, - 2) \cup (- 2, \infty)$
55719	Multiply	(x+6)(x-3)	$(x + 6) (x - 3)$
55720	Convert to Set Notation	[-1,6]	$[- 1, 6]$
55721	Multiply	(x+7)(x-5)	$(x + 7) (x - 5)$
55722	Convert to Set Notation	[-6,5)	$[- 6, 5)$
55723	Multiply	(x-1)(x-1)	$(x - 1) (x - 1)$
55724	Convert to Set Notation	5(x-2)+9x<3(7+4x)	$5 (x - 2) + 9 x < 3 (7 + 4 x)$
55725	Multiply	(x+y)(x^2-xy+y^2)	$(x + y) (x^{2} - x y + y^{2})$
55726	Convert to Set Notation	y-x>-3	$y - x > - 3$
55727	Multiply	(x-4)(x-3)	$(x - 4) (x - 3)$
55728	Convert to Set Notation	x^2+6x-5>0	$x^{2} + 6 x - 5 > 0$
55729	Multiply	(2x-5y)^2	${(2 x - 5 y)}^{2}$
55730	Multiply	(2x+3)^3	${(2 x + 3)}^{3}$
55731	Multiply	(2x-3y)^2	${(2 x - 3 y)}^{2}$
55732	Multiply	(x-4)^3	${(x - 4)}^{3}$
55733	Convert to Set Notation	[-2,5)	$[- 2, 5)$
55734	Multiply	(3x-y)^2	${(3 x - y)}^{2}$
55735	Multiply	(4x-3y)^2	${(4 x - 3 y)}^{2}$
55736	Convert to Set Notation	5/(2x-1)<x-2	$\frac{5}{2 x - 1} < x - 2$
55737	Multiply	( square root of x+7)( square root of x-7)	$(\sqrt{x} + 7) (\sqrt{x} - 7)$
55738	Convert to Set Notation	(-1,1]	$(- 1, 1]$
55739	Multiply	(2- square root of 5)(2+ square root of 5)	$(2 - \sqrt{5}) (2 + \sqrt{5})$
55740	Convert to Set Notation	1/5(x-8)>x+12	$\frac{1}{5} (x - 8) > x + 12$
55741	Multiply	(3x+7)(3x-7)	$(3 x + 7) (3 x - 7)$
55742	Convert to Set Notation	200<=x<=300	$200 \leq x \leq 300$
55743	Multiply	(3x+5)(3x-5)	$(3 x + 5) (3 x - 5)$
55744	Convert to Set Notation	15x+15>3(4x+7)	$15 x + 15 > 3 (4 x + 7)$
55745	Multiply	(3- square root of 7)(5+ square root of 2)	$(3 - \sqrt{7}) (5 + \sqrt{2})$
55746	Multiply	( square root of p+ square root of q)( square root of p- square root of q)	$(\sqrt{p} + \sqrt{q}) (\sqrt{p} - \sqrt{q})$
55747	Multiply	( square root of 5+3)( square root of 5-3)	$(\sqrt{5} + 3) (\sqrt{5} - 3)$
55748	Multiply	( square root of 3+7)( square root of 3-7)	$(\sqrt{3} + 7) (\sqrt{3} - 7)$
55749	Convert to Set Notation	2x-1<7	$2 x - 1 < 7$
55750	Solve for x	-2<4x-10<6	$- 2 < 4 x - 10 < 6$
55751	Simplify	( square root of 3x-2 square root of 3y)^2	${(\sqrt{3 x} - 2 \sqrt{3 y})}^{2}$
55752	Convert to Set Notation	[0,infinity) union (2,infinity)	$[0, \infty) \cup (2, \infty)$
55753	Simplify	( square root of 13+x)^2	${(\sqrt{13} + x)}^{2}$
55754	Simplify	( cube root of x)^2	${(\sqrt[3]{x})}^{2}$
55755	Simplify	(2 square root of 5)^2	${(2 \sqrt{5})}^{2}$
55756	Convert to Set Notation	x-24/x<2	$x - \frac{24}{x} < 2$
55757	Simplify	( square root of 12b)( square root of 2b)	$(\sqrt{12 b}) (\sqrt{2 b})$
55758	Multiply	(4x^2)/(5y)*(7y)/(12x^4)	$\frac{4 x^{2}}{5 y} \cdot \frac{7 y}{12 x^{4}}$
55759	Convert to Set Notation	(-2,9]	$(- 2, 9]$
55760	Multiply	36*6	$36 \cdot 6$
55761	Convert to Set Notation	4\|x+5\|-16>0	$4 \| x + 5 \| - 16 > 0$
55762	Multiply	-4a^2(3a^2-4a+3)	$- 4 a^{2} (3 a^{2} - 4 a + 3)$
55763	Simplify	( fourth root of 2)/( fourth root of 5)	$\frac{\sqrt[4]{2}}{\sqrt[4]{5}}$
55764	Convert to Set Notation	[-2,9)	$[- 2, 9)$
55765	Simplify	(x^2+2x-8)/((x-2)(x+6))	$\frac{x^{2} + 2 x - 8}{(x - 2) (x + 6)}$
55766	Convert to Set Notation	3/5(3x-1)>12	$\frac{3}{5} (3 x - 1) > 12$
55767	Simplify	(x^2+2x-80)/(2x^3-24x^2+64x)	$\frac{x^{2} + 2 x - 80}{2 x^{3} - 24 x^{2} + 64 x}$
55768	Simplify	(x^(2/3))/(x^(4/9))	$\frac{x^{\frac{2}{3}}}{x^{\frac{4}{9}}}$
55769	Simplify	(x^2-14x+49)/(x^2-49)	$\frac{x^{2} - 14 x + 49}{x^{2} - 49}$
55770	Simplify	(x^3-216)/(x-6)	$\frac{x^{3} - 216}{x - 6}$
55771	Simplify	(x^-5+y^-3)/(x^-4+y^-2)	$\frac{x^{- 5} + y^{- 3}}{x^{- 4} + y^{- 2}}$
55772	Convert to Set Notation	49x^2-28x>-4	$49 x^{2} - 28 x > - 4$
55773	Simplify	( square root of -1)/((4-3i)-(2+5i))	$\frac{\sqrt{- 1}}{(4 - 3 i) - (2 + 5 i)}$
55774	Simplify	( square root of 12x^2)/( square root of 3)	$\frac{\sqrt{12 x^{2}}}{\sqrt{3}}$
55775	Simplify	( square root of 12x)/( square root of 3x)	$\frac{\sqrt{12 x}}{\sqrt{3 x}}$
55776	Simplify	( square root of 3y)/( square root of y)	$\frac{\sqrt{3 y}}{\sqrt{y}}$
55777	Convert to Set Notation	[-1,4)	$[- 1, 4)$
55778	Simplify	( square root of 18)/( square root of 2)	$\frac{\sqrt{18}}{\sqrt{2}}$
55779	Simplify	( square root of 189x^5y^6)/( square root of 3y^4)	$\frac{\sqrt{189 x^{5} y^{6}}}{\sqrt{3 y^{4}}}$
55780	Convert to Set Notation	4x-18<2	$4 x - 18 < 2$
55781	Simplify	( square root of 98x^3)/( square root of 2x)	$\frac{\sqrt{98 x^{3}}}{\sqrt{2 x}}$
55782	Simplify	( cube root of 5a)/( cube root of 3c)	$\frac{\sqrt[3]{5 a}}{\sqrt[3]{3 c}}$
55783	Convert to Set Notation	x+2>3	$x + 2 > 3$
55784	Simplify	( cube root of 4)/( cube root of 6)	$\frac{\sqrt[3]{4}}{\sqrt[3]{6}}$
55785	Simplify	(a^-1+4)/(a^-1-4)	$\frac{a^{- 1} + 4}{a^{- 1} - 4}$
55786	Convert to Set Notation	x-70/x<-3	$x - \frac{70}{x} < - 3$
55787	Simplify	4/( square root of 63x)	$\frac{4}{\sqrt{63 x}}$
55788	Convert to Set Notation	(negative infinity,3.5)	$(- \infty, 3.5)$
55789	Simplify	4/(9+i)	$\frac{4}{9 + i}$
55790	Convert to Set Notation	(negative infinity,6.7)	$(- \infty, 6.7)$
55791	Simplify	5/(1+ square root of 3)	$\frac{5}{1 + \sqrt{3}}$
55792	Convert to Set Notation	[0,infinity) intersect (negative infinity,10]	$[0, \infty) \cap (- \infty, 10]$
55793	Simplify	(4x+6)/(2x+3)	$\frac{4 x + 6}{2 x + 3}$
55794	Simplify	9/(2- square root of 7)	$\frac{9}{2 - \sqrt{7}}$
55795	Convert to Set Notation	-10(x+3)-4<5x+11	$- 10 (x + 3) - 4 < 5 x + 11$
55796	Simplify	(8y^10-2y^6+5y^3+9y)/(2y^3)	$\frac{8 y^{10} - 2 y^{6} + 5 y^{3} + 9 y}{2 y^{3}}$
55797	Simplify	8/(1- square root of 3)	$\frac{8}{1 - \sqrt{3}}$
55798	Convert to Set Notation	x^2+36>12x	$x^{2} + 36 > 12 x$
55799	Simplify	(6x^2+7x-3)/(-3x^2+x)	$\frac{6 x^{2} + 7 x - 3}{- 3 x^{2} + x}$
55800	Convert to Set Notation	4x^2<64	$4 x^{2} < 64$